Systems of Inequalities
What does a dashed line mean when graphing inequalities?
When the line is (<or>) and not included
What is the slope intercept form for linear inequalities?
y=mx+b
How would you graph x > 3
You would shade in greater than 3.
When a system has no solution, what would the graph look like??
None of the shaded areas would overlap.
Find the slope of this line with the points:
(2,3) and (5,15) provided
4
Why would you use a solid line to graph y≤2x+1?
Because it would would included the line since its less than OR equal to 2x+1
What is a system of inequalities?
Two or more inequalities graphed on the same plane.
Identify the slope and y-intercept in this equation:
y=5x+3
Slope:5
Y-inter: 3
Why would you use a dashed line for the equation y>3x+6
Because it would exclude the line since it is only greater than it NOT equal.
Where are the solutions to a system of innaqulties on a graph.
They are in they shaded area that has both lines overlapped.
What is the equation for line with the y-intercept of 7 and a slope of 6?
y=6x+7
How would you graph the equation y>3x+1?
You would shade the region above y>3x+1, using a dashed line
A teacher wants to have at most 100 pencils and at least 50 pencils for the classroom.
Write a system of inequalities to represent this situation.
x≤100
y≥50
Find the slope passing through points:
(1,2) and (-7,0)
1/4
What is the solution for the area of this solution?
(y>x+2) and (y≤−x+5y)
The overlapping region above y = x + 2and below/on y=−x+5